Q. 264.7( 18 Votes )

A statue 1.6 m tall stands on the top of pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point the angle of elevation of the top of the pedestal is 45°. Find the height of the pedestal.

Answer :

Let AD is statue of height 1.6 m. and BD is pedestal of height h (m).


Let the distance between point of elevation and foot of pedestal is (m).


In ∆DBC,


tan 45° =


1 =


h = ----------(1)


In ∆ABC,


tan 60° =


√3 =


√3 =


√3 = 1.6+h -----------(2)



On substituting value of from eqn. (1) in eqn. (2)


√3h = 1.6+h


√3h – h = 1.6


h =


on rationalizing we get.


h =


= = m.


Therefore height of pedestal is m.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trick to learn all Trigonometric Formulae28 mins
Champ Quiz | Trigger on Trigonometry47 mins
Fundas of Trigonometry50 mins
Champ Quiz | Trigonometry Important Questions33 mins
NCERT | Trigonometric Identities52 mins
Champ Quiz | NTSE Trigonometry50 mins
Testing the T- Ratios of Specified Angles57 mins
Foundation | Cracking Previous Year IMO QuestionsFREE Class
Basic Concept of Trigonometry43 mins
NCERT | Imp. Qs. on Trigonometry42 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses